LARGE FINITE POPULATION QUEUING-SYSTEMS - THE SINGLE-SERVER MODEL

Stochastic variables associated to a single-server queueing system wit h finite population are shown to weakly converge, on some time regions , to Gaussian processes, Brownian motions or stochastic integrals on s uch when the population size increases. Queue length, unfinished work, storage occupied (in a computer system model) and idle time show diff erent limiting behaviour, depending on the arrival and service distrib ution.